Multiplicity of positive solutions for a nonlinear equation with a Hardy potential on the Heisenberg group

Aidyn Kassymov, Durvudkhan Suragan

Research output: Contribution to journalArticlepeer-review

Abstract

In this note, we show multiplicity of positive weak solutions for nonlinear equations with a first stratum Hardy potential on the Heisenberg and stratified groups. The mountain pass theorem, Sobolev-Folland-Stein and first stratum Hardy inequalities play key roles in our proofs.

Original languageEnglish
Article number102916
JournalBulletin des Sciences Mathematiques
Volume165
DOIs
Publication statusPublished - Dec 2020

Keywords

  • Hardy inequality
  • Heisenberg group
  • Mountain pass theorem
  • Sobolev-Folland-Stein inequality
  • Stratified group
  • Sub-Laplacian

ASJC Scopus subject areas

  • Mathematics(all)

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